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Finding the Fourth Proportional to 5,070.99, 7,597.35 and 4,766.01

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Solution

The fourth proportional to 5,070.99, 7,597.35 and 4,766.01 is: 7,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.99 : 7,597.35 = 4,766.01 : x
  2. Step 2: Convert to fraction form
    5,070.99/7,597.35 = 4,766.01/x
  3. Step 3: Cross multiply
    5,070.99x = 7,597.35 × 4,766.01
  4. Step 4: Simplify right side
    5,070.99x = 36,209,046.07
  5. Step 5: Solve for x
    x = 36,209,046.07/5,070.99
  6. Step 6: Final answer
    x = 7,140.43

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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.