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Finding the Fourth Proportional to 5,710.40, 8,565.60 and 5,386.40

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Solution

The fourth proportional to 5,710.40, 8,565.60 and 5,386.40 is: 8,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.40 : 8,565.60 = 5,386.40 : x
  2. Step 2: Convert to fraction form
    5,710.40/8,565.60 = 5,386.40/x
  3. Step 3: Cross multiply
    5,710.40x = 8,565.60 × 5,386.40
  4. Step 4: Simplify right side
    5,710.40x = 46,137,747.84
  5. Step 5: Solve for x
    x = 46,137,747.84/5,710.40
  6. Step 6: Final answer
    x = 8,079.60

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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.