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Finding the Fourth Proportional to 5,117.02, 7,074.08 and 5,070.24

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Solution

The fourth proportional to 5,117.02, 7,074.08 and 5,070.24 is: 7,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.02 : 7,074.08 = 5,070.24 : x
  2. Step 2: Convert to fraction form
    5,117.02/7,074.08 = 5,070.24/x
  3. Step 3: Cross multiply
    5,117.02x = 7,074.08 × 5,070.24
  4. Step 4: Simplify right side
    5,117.02x = 35,867,283.38
  5. Step 5: Solve for x
    x = 35,867,283.38/5,117.02
  6. Step 6: Final answer
    x = 7,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.