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Finding the Fourth Proportional to 3,730.40, 5,596.23 and 1,537.93

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Solution

The fourth proportional to 3,730.40, 5,596.23 and 1,537.93 is: 2,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.40 : 5,596.23 = 1,537.93 : x
  2. Step 2: Convert to fraction form
    3,730.40/5,596.23 = 1,537.93/x
  3. Step 3: Cross multiply
    3,730.40x = 5,596.23 × 1,537.93
  4. Step 4: Simplify right side
    3,730.40x = 8,606,582.02
  5. Step 5: Solve for x
    x = 8,606,582.02/3,730.40
  6. Step 6: Final answer
    x = 2,307.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.