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Finding the Fourth Proportional to 4,970.63, 7,455.98 and 1,507.88

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Solution

The fourth proportional to 4,970.63, 7,455.98 and 1,507.88 is: 2,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.63 : 7,455.98 = 1,507.88 : x
  2. Step 2: Convert to fraction form
    4,970.63/7,455.98 = 1,507.88/x
  3. Step 3: Cross multiply
    4,970.63x = 7,455.98 × 1,507.88
  4. Step 4: Simplify right side
    4,970.63x = 11,242,689.61
  5. Step 5: Solve for x
    x = 11,242,689.61/4,970.63
  6. Step 6: Final answer
    x = 2,261.83

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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.