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Finding the Fourth Proportional to 4,365.93, 6,548.91 and 1,557

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Solution

The fourth proportional to 4,365.93, 6,548.91 and 1,557 is: 2,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.93 : 6,548.91 = 1,557 : x
  2. Step 2: Convert to fraction form
    4,365.93/6,548.91 = 1,557/x
  3. Step 3: Cross multiply
    4,365.93x = 6,548.91 × 1,557
  4. Step 4: Simplify right side
    4,365.93x = 10,196,652.87
  5. Step 5: Solve for x
    x = 10,196,652.87/4,365.93
  6. Step 6: Final answer
    x = 2,335.51

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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.