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Finding the Fourth Proportional to 4,655.64, 6,985.86 and 2,060.40

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Solution

The fourth proportional to 4,655.64, 6,985.86 and 2,060.40 is: 3,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.64 : 6,985.86 = 2,060.40 : x
  2. Step 2: Convert to fraction form
    4,655.64/6,985.86 = 2,060.40/x
  3. Step 3: Cross multiply
    4,655.64x = 6,985.86 × 2,060.40
  4. Step 4: Simplify right side
    4,655.64x = 14,393,665.94
  5. Step 5: Solve for x
    x = 14,393,665.94/4,655.64
  6. Step 6: Final answer
    x = 3,091.66

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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.