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Finding the Fourth Proportional to 5,909.64, 8,862.30 and 2,445

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Solution

The fourth proportional to 5,909.64, 8,862.30 and 2,445 is: 3,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.64 : 8,862.30 = 2,445 : x
  2. Step 2: Convert to fraction form
    5,909.64/8,862.30 = 2,445/x
  3. Step 3: Cross multiply
    5,909.64x = 8,862.30 × 2,445
  4. Step 4: Simplify right side
    5,909.64x = 21,668,323.50
  5. Step 5: Solve for x
    x = 21,668,323.50/5,909.64
  6. Step 6: Final answer
    x = 3,666.61

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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.