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Finding the Fourth Proportional to 3,602.16, 4,970.52 and 2,030.64

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Solution

The fourth proportional to 3,602.16, 4,970.52 and 2,030.64 is: 2,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.16 : 4,970.52 = 2,030.64 : x
  2. Step 2: Convert to fraction form
    3,602.16/4,970.52 = 2,030.64/x
  3. Step 3: Cross multiply
    3,602.16x = 4,970.52 × 2,030.64
  4. Step 4: Simplify right side
    3,602.16x = 10,093,336.73
  5. Step 5: Solve for x
    x = 10,093,336.73/3,602.16
  6. Step 6: Final answer
    x = 2,802.02

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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.