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Finding the Fourth Proportional to 4,711.47, 7,069.95 and 1,752

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Solution

The fourth proportional to 4,711.47, 7,069.95 and 1,752 is: 2,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.47 : 7,069.95 = 1,752 : x
  2. Step 2: Convert to fraction form
    4,711.47/7,069.95 = 1,752/x
  3. Step 3: Cross multiply
    4,711.47x = 7,069.95 × 1,752
  4. Step 4: Simplify right side
    4,711.47x = 12,386,552.40
  5. Step 5: Solve for x
    x = 12,386,552.40/4,711.47
  6. Step 6: Final answer
    x = 2,629.02

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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.