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Finding the Fourth Proportional to 4,653, 6,421.14 and 2,557.08

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Solution

The fourth proportional to 4,653, 6,421.14 and 2,557.08 is: 3,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653 : 6,421.14 = 2,557.08 : x
  2. Step 2: Convert to fraction form
    4,653/6,421.14 = 2,557.08/x
  3. Step 3: Cross multiply
    4,653x = 6,421.14 × 2,557.08
  4. Step 4: Simplify right side
    4,653x = 16,419,368.67
  5. Step 5: Solve for x
    x = 16,419,368.67/4,653
  6. Step 6: Final answer
    x = 3,528.77

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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.