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Finding the Fourth Proportional to 3,602.16, 4,970.98 and 1,946.16

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Solution

The fourth proportional to 3,602.16, 4,970.98 and 1,946.16 is: 2,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.16 : 4,970.98 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    3,602.16/4,970.98 = 1,946.16/x
  3. Step 3: Cross multiply
    3,602.16x = 4,970.98 × 1,946.16
  4. Step 4: Simplify right side
    3,602.16x = 9,674,287.85
  5. Step 5: Solve for x
    x = 9,674,287.85/3,602.16
  6. Step 6: Final answer
    x = 2,685.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.