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Finding the Fourth Proportional to 5,699.90, 7,871.29 and 5,389.28

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Solution

The fourth proportional to 5,699.90, 7,871.29 and 5,389.28 is: 7,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.90 : 7,871.29 = 5,389.28 : x
  2. Step 2: Convert to fraction form
    5,699.90/7,871.29 = 5,389.28/x
  3. Step 3: Cross multiply
    5,699.90x = 7,871.29 × 5,389.28
  4. Step 4: Simplify right side
    5,699.90x = 42,420,585.77
  5. Step 5: Solve for x
    x = 42,420,585.77/5,699.90
  6. Step 6: Final answer
    x = 7,442.35

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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.