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Finding the Fourth Proportional to 5,252.52, 7,878.76 and 1,554.77

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Solution

The fourth proportional to 5,252.52, 7,878.76 and 1,554.77 is: 2,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.52 : 7,878.76 = 1,554.77 : x
  2. Step 2: Convert to fraction form
    5,252.52/7,878.76 = 1,554.77/x
  3. Step 3: Cross multiply
    5,252.52x = 7,878.76 × 1,554.77
  4. Step 4: Simplify right side
    5,252.52x = 12,249,651.91
  5. Step 5: Solve for x
    x = 12,249,651.91/5,252.52
  6. Step 6: Final answer
    x = 2,332.15

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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.