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Finding the Fourth Proportional to 5,307.88, 7,328.19 and 3,420.40

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Solution

The fourth proportional to 5,307.88, 7,328.19 and 3,420.40 is: 4,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.88 : 7,328.19 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    5,307.88/7,328.19 = 3,420.40/x
  3. Step 3: Cross multiply
    5,307.88x = 7,328.19 × 3,420.40
  4. Step 4: Simplify right side
    5,307.88x = 25,065,341.08
  5. Step 5: Solve for x
    x = 25,065,341.08/5,307.88
  6. Step 6: Final answer
    x = 4,722.29

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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.