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Finding the Fourth Proportional to 5,714.60, 8,573.74 and 2,430.50

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Solution

The fourth proportional to 5,714.60, 8,573.74 and 2,430.50 is: 3,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.60 : 8,573.74 = 2,430.50 : x
  2. Step 2: Convert to fraction form
    5,714.60/8,573.74 = 2,430.50/x
  3. Step 3: Cross multiply
    5,714.60x = 8,573.74 × 2,430.50
  4. Step 4: Simplify right side
    5,714.60x = 20,838,475.07
  5. Step 5: Solve for x
    x = 20,838,475.07/5,714.60
  6. Step 6: Final answer
    x = 3,646.53

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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.