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Finding the Fourth Proportional to 5,658.66, 8,484.75 and 5,332.50

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Solution

The fourth proportional to 5,658.66, 8,484.75 and 5,332.50 is: 7,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.66 : 8,484.75 = 5,332.50 : x
  2. Step 2: Convert to fraction form
    5,658.66/8,484.75 = 5,332.50/x
  3. Step 3: Cross multiply
    5,658.66x = 8,484.75 × 5,332.50
  4. Step 4: Simplify right side
    5,658.66x = 45,244,929.38
  5. Step 5: Solve for x
    x = 45,244,929.38/5,658.66
  6. Step 6: Final answer
    x = 7,995.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.