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Finding the Fourth Proportional to 5,739,175.74, 7,920,420.71 and 3,160,855.83

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Solution

The fourth proportional to 5,739,175.74, 7,920,420.71 and 3,160,855.83 is: 4,362,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,175.74 : 7,920,420.71 = 3,160,855.83 : x
  2. Step 2: Convert to fraction form
    5,739,175.74/7,920,420.71 = 3,160,855.83/x
  3. Step 3: Cross multiply
    5,739,175.74x = 7,920,420.71 × 3,160,855.83
  4. Step 4: Simplify right side
    5,739,175.74x = 25,035,307,977,256.24
  5. Step 5: Solve for x
    x = 25,035,307,977,256.24/5,739,175.74
  6. Step 6: Final answer
    x = 4,362,178.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.