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Finding the Fourth Proportional to 5,801.70, 8,702.55 and 1,419.10

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Solution

The fourth proportional to 5,801.70, 8,702.55 and 1,419.10 is: 2,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.70 : 8,702.55 = 1,419.10 : x
  2. Step 2: Convert to fraction form
    5,801.70/8,702.55 = 1,419.10/x
  3. Step 3: Cross multiply
    5,801.70x = 8,702.55 × 1,419.10
  4. Step 4: Simplify right side
    5,801.70x = 12,349,788.71
  5. Step 5: Solve for x
    x = 12,349,788.71/5,801.70
  6. Step 6: Final answer
    x = 2,128.65

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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.