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Finding the Fourth Proportional to 4,657.79, 6,985.25 and 1,737.47

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Solution

The fourth proportional to 4,657.79, 6,985.25 and 1,737.47 is: 2,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.79 : 6,985.25 = 1,737.47 : x
  2. Step 2: Convert to fraction form
    4,657.79/6,985.25 = 1,737.47/x
  3. Step 3: Cross multiply
    4,657.79x = 6,985.25 × 1,737.47
  4. Step 4: Simplify right side
    4,657.79x = 12,136,653.63
  5. Step 5: Solve for x
    x = 12,136,653.63/4,657.79
  6. Step 6: Final answer
    x = 2,605.67

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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.