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Finding the Fourth Proportional to 4,657.16, 6,985.71 and 1,883.79

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Solution

The fourth proportional to 4,657.16, 6,985.71 and 1,883.79 is: 2,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.16 : 6,985.71 = 1,883.79 : x
  2. Step 2: Convert to fraction form
    4,657.16/6,985.71 = 1,883.79/x
  3. Step 3: Cross multiply
    4,657.16x = 6,985.71 × 1,883.79
  4. Step 4: Simplify right side
    4,657.16x = 13,159,601.22
  5. Step 5: Solve for x
    x = 13,159,601.22/4,657.16
  6. Step 6: Final answer
    x = 2,825.67

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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.