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Finding the Fourth Proportional to 3,602.72, 4,970.40 and 2,421.92

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Solution

The fourth proportional to 3,602.72, 4,970.40 and 2,421.92 is: 3,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.72 : 4,970.40 = 2,421.92 : x
  2. Step 2: Convert to fraction form
    3,602.72/4,970.40 = 2,421.92/x
  3. Step 3: Cross multiply
    3,602.72x = 4,970.40 × 2,421.92
  4. Step 4: Simplify right side
    3,602.72x = 12,037,886.32
  5. Step 5: Solve for x
    x = 12,037,886.32/3,602.72
  6. Step 6: Final answer
    x = 3,341.34

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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.