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Finding the Fourth Proportional to 6,030.50, 8,323.53 and 3,547.94

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Solution

The fourth proportional to 6,030.50, 8,323.53 and 3,547.94 is: 4,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.50 : 8,323.53 = 3,547.94 : x
  2. Step 2: Convert to fraction form
    6,030.50/8,323.53 = 3,547.94/x
  3. Step 3: Cross multiply
    6,030.50x = 8,323.53 × 3,547.94
  4. Step 4: Simplify right side
    6,030.50x = 29,531,385.03
  5. Step 5: Solve for x
    x = 29,531,385.03/6,030.50
  6. Step 6: Final answer
    x = 4,897.00

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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.