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Finding the Fourth Proportional to 5,877.60, 8,816.36 and 1,495

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Solution

The fourth proportional to 5,877.60, 8,816.36 and 1,495 is: 2,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.60 : 8,816.36 = 1,495 : x
  2. Step 2: Convert to fraction form
    5,877.60/8,816.36 = 1,495/x
  3. Step 3: Cross multiply
    5,877.60x = 8,816.36 × 1,495
  4. Step 4: Simplify right side
    5,877.60x = 13,180,458.20
  5. Step 5: Solve for x
    x = 13,180,458.20/5,877.60
  6. Step 6: Final answer
    x = 2,242.49

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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.