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Finding the Fourth Proportional to 4,699.76, 7,047.20 and 1,776.06

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Solution

The fourth proportional to 4,699.76, 7,047.20 and 1,776.06 is: 2,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.76 : 7,047.20 = 1,776.06 : x
  2. Step 2: Convert to fraction form
    4,699.76/7,047.20 = 1,776.06/x
  3. Step 3: Cross multiply
    4,699.76x = 7,047.20 × 1,776.06
  4. Step 4: Simplify right side
    4,699.76x = 12,516,254.47
  5. Step 5: Solve for x
    x = 12,516,254.47/4,699.76
  6. Step 6: Final answer
    x = 2,663.17

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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.