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Finding the Fourth Proportional to 5,293.02, 7,307.07 and 3,875.13

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Solution

The fourth proportional to 5,293.02, 7,307.07 and 3,875.13 is: 5,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.02 : 7,307.07 = 3,875.13 : x
  2. Step 2: Convert to fraction form
    5,293.02/7,307.07 = 3,875.13/x
  3. Step 3: Cross multiply
    5,293.02x = 7,307.07 × 3,875.13
  4. Step 4: Simplify right side
    5,293.02x = 28,315,846.17
  5. Step 5: Solve for x
    x = 28,315,846.17/5,293.02
  6. Step 6: Final answer
    x = 5,349.66

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