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Finding the Fourth Proportional to 4,653.64, 6,981.18 and 2,897.29

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Solution

The fourth proportional to 4,653.64, 6,981.18 and 2,897.29 is: 4,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.64 : 6,981.18 = 2,897.29 : x
  2. Step 2: Convert to fraction form
    4,653.64/6,981.18 = 2,897.29/x
  3. Step 3: Cross multiply
    4,653.64x = 6,981.18 × 2,897.29
  4. Step 4: Simplify right side
    4,653.64x = 20,226,503.00
  5. Step 5: Solve for x
    x = 20,226,503.00/4,653.64
  6. Step 6: Final answer
    x = 4,346.38

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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.