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Finding the Fourth Proportional to 3,357.42, 5,036.58 and 1,409.16

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Solution

The fourth proportional to 3,357.42, 5,036.58 and 1,409.16 is: 2,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.42 : 5,036.58 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    3,357.42/5,036.58 = 1,409.16/x
  3. Step 3: Cross multiply
    3,357.42x = 5,036.58 × 1,409.16
  4. Step 4: Simplify right side
    3,357.42x = 7,097,347.07
  5. Step 5: Solve for x
    x = 7,097,347.07/3,357.42
  6. Step 6: Final answer
    x = 2,113.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.