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Finding the Fourth Proportional to 5,373.64, 7,445.48 and 5,257

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Solution

The fourth proportional to 5,373.64, 7,445.48 and 5,257 is: 7,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.64 : 7,445.48 = 5,257 : x
  2. Step 2: Convert to fraction form
    5,373.64/7,445.48 = 5,257/x
  3. Step 3: Cross multiply
    5,373.64x = 7,445.48 × 5,257
  4. Step 4: Simplify right side
    5,373.64x = 39,140,888.36
  5. Step 5: Solve for x
    x = 39,140,888.36/5,373.64
  6. Step 6: Final answer
    x = 7,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.