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Finding the Fourth Proportional to 5,235.47, 7,854.35 and 2,898.87

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Solution

The fourth proportional to 5,235.47, 7,854.35 and 2,898.87 is: 4,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.47 : 7,854.35 = 2,898.87 : x
  2. Step 2: Convert to fraction form
    5,235.47/7,854.35 = 2,898.87/x
  3. Step 3: Cross multiply
    5,235.47x = 7,854.35 × 2,898.87
  4. Step 4: Simplify right side
    5,235.47x = 22,768,725.09
  5. Step 5: Solve for x
    x = 22,768,725.09/5,235.47
  6. Step 6: Final answer
    x = 4,348.94

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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.