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Finding the Fourth Proportional to 4,657.36, 6,985.02 and 1,370.68

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Solution

The fourth proportional to 4,657.36, 6,985.02 and 1,370.68 is: 2,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.36 : 6,985.02 = 1,370.68 : x
  2. Step 2: Convert to fraction form
    4,657.36/6,985.02 = 1,370.68/x
  3. Step 3: Cross multiply
    4,657.36x = 6,985.02 × 1,370.68
  4. Step 4: Simplify right side
    4,657.36x = 9,574,227.21
  5. Step 5: Solve for x
    x = 9,574,227.21/4,657.36
  6. Step 6: Final answer
    x = 2,055.72

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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.